Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin

Abstract

Recently in paper [Peng et al., Phys. Rev. Lett. 114, 010601 (2015)] the experimental observation of the Lee-Yang zeros of an Ising-type spin-1/2 bath, by measuring the coherence of a probe spin, was reported. We generalize this problem to the case of an arbitrary high-spin bath. Namely, we consider the evolution of a probe arbitrary spin which interacts with bath composed by N arbitrary spins. As a result, the connection between the observed values of the probe spin, such as magnetization and susceptibility, and the Lee-Yang zeros is found. We apply these results to some models, namely, a triangle spin cluster, the Ising model with a long-range interaction and the 1D Ising model with nearest-neighbor interaction. Also we propose the implementation of these models on real physical systems.

arXiv comment13 pages, 6 figures

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• Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model
• Determination of universal critical exponents using Lee-Yang theory
• Lee-Yang theory of the Curie-Weiss model and its rare fluctuations
• Lee-Yang theory of Bose-Einstein condensation
• Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins
• Lee-Yang zeros and quantum Fisher information matrix in a nonlinear system
• Detecting the purely imaginary Fisher zeros of an Ising spin system on a quantum computer